1

JEE Main 2023 (Online) 1st February Evening Shift

MCQ (Single Correct Answer)

+4

-1

If $$y(x)=x^{x},x > 0$$, then $$y''(2)-2y'(2)$$ is equal to

2

JEE Main 2023 (Online) 1st February Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let $$f(x) = 2x + {\tan ^{ - 1}}x$$ and $$g(x) = {\log _e}(\sqrt {1 + {x^2}} + x),x \in [0,3]$$. Then

3

JEE Main 2023 (Online) 31st January Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let $$y=f(x)=\sin ^{3}\left(\frac{\pi}{3}\left(\cos \left(\frac{\pi}{3 \sqrt{2}}\left(-4 x^{3}+5 x^{2}+1\right)^{\frac{3}{2}}\right)\right)\right)$$. Then, at x = 1,

4

JEE Main 2023 (Online) 30th January Evening Shift

MCQ (Single Correct Answer)

+4

-1

If the functions $f(x)=\frac{x^3}{3}+2 b x+\frac{a x^2}{2}$

and $g(x)=\frac{x^3}{3}+a x+b x^2, a \neq 2 b$

have a common extreme point, then $a+2 b+7$ is equal to :

and $g(x)=\frac{x^3}{3}+a x+b x^2, a \neq 2 b$

have a common extreme point, then $a+2 b+7$ is equal to :

Questions Asked from Differentiation (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates
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JEE Main 2023 (Online) 1st February Evening Shift (1)
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